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Simplifying -2p + -3(6 + -2p) = 2(p + -4) + -10 -2p + (6 * -3 + -2p * -3) = 2(p + -4) + -10 -2p + (-18 + 6p) = 2(p + -4) + -10 Reorder the terms: -18 + -2p + 6p = 2(p + -4) + -10 Combine like terms: -2p + 6p = 4p -18 + 4p = 2(p + -4) + -10 Reorder the terms: -18 + 4p = 2(-4 + p) + -10 -18 + 4p = (-4 * 2 + p * 2) + -10 -18 + 4p = (-8 + 2p) + -10 Reorder the terms: -18 + 4p = -8 + -10 + 2p Combine like terms: -8 + -10 = -18 -18 + 4p = -18 + 2p Add '18' to each side of the equation. -18 + 18 + 4p = -18 + 18 + 2p Combine like terms: -18 + 18 = 0 0 + 4p = -18 + 18 + 2p 4p = -18 + 18 + 2p Combine like terms: -18 + 18 = 0 4p = 0 + 2p 4p = 2p Solving 4p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4p + -2p = 2p + -2p Combine like terms: 4p + -2p = 2p 2p = 2p + -2p Combine like terms: 2p + -2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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